An earthquake registers 6.1 on the richter scale. What is the rating on an earthquake that is twice as powerful?
Hello, math123456!
An earthquake registers 6.1 on the Richter scale.
What is the rating on an earthquake that is twice as powerful?
The Richer scale is logarithmic.
If $\displaystyle X$ is the "power" of an earthquake, its Richter rating is: $\displaystyle \log(X)$
We have an earthquake with a Richter rating of 6.1.
If its power is $\displaystyle X$, we have: .$\displaystyle \log(X) \:=\:6.1$
An earthquake twice as power has power $\displaystyle 2X$.
Its rating is: .$\displaystyle \log(2X) \;=\;\log(2) + \log(X) \:=\:0.30103 + 6.1 \;\approx\:6.4$
Curses . . . too slow ... again!
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